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Finding the Fourth Proportional to 395,113.67, 545,256.91 and 213,825.64

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Solution

The fourth proportional to 395,113.67, 545,256.91 and 213,825.64 is: 295,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,113.67 : 545,256.91 = 213,825.64 : x
  2. Step 2: Convert to fraction form
    395,113.67/545,256.91 = 213,825.64/x
  3. Step 3: Cross multiply
    395,113.67x = 545,256.91 × 213,825.64
  4. Step 4: Simplify right side
    395,113.67x = 116,589,906,676.04
  5. Step 5: Solve for x
    x = 116,589,906,676.04/395,113.67
  6. Step 6: Final answer
    x = 295,079.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.